NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 7: Algebra - Multiple Choice Questions

Question 12

Step 1: What is a variable?

A variable is a symbol (like (x) or (y)) that can change its value.

Step 2: See how it can change

First value: (x = 2)

Later it can be: (x = 5)

So, the value is not fixed. It can be different at different times or in different questions.

Step 3: Real-life idea

Think of the “temperature today.” It changes during the day. So it’s like a variable.

Step 4: Variable vs Constant

A constant has a fixed value (it does not change).

Example of a constant: (pi) (pi) is always about (3.14ldots)

Step 5: Check the options

• Option A: “can take different values” — Correct. That is exactly what a variable does.
• Option B: “has a fixed value” — Wrong. That is a constant, not a variable.
• Option C: “can take only 2 values” — Wrong. A variable can take many values, not just two.
• Option D: “can take only three values” — Wrong. A variable is not limited to three values.

Final Answer: A — A variable can take different values.